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Finding the Fourth Proportional to 9,774.72, 14,661.99 and 3,532.37

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Solution

The fourth proportional to 9,774.72, 14,661.99 and 3,532.37 is: 5,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.72 : 14,661.99 = 3,532.37 : x
  2. Step 2: Convert to fraction form
    9,774.72/14,661.99 = 3,532.37/x
  3. Step 3: Cross multiply
    9,774.72x = 14,661.99 × 3,532.37
  4. Step 4: Simplify right side
    9,774.72x = 51,791,500.31
  5. Step 5: Solve for x
    x = 51,791,500.31/9,774.72
  6. Step 6: Final answer
    x = 5,298.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.